Georg Glaeser

Questa guida subacquea accompagna non solo gli entusiasti subacquei, ma tutti gli appassionati del mondo sottomarino in un viaggio alla scoperta degli habitat del Mar Mediterraneo. Il libro vi invita a conoscere gli organismi marini nel loro ambiente naturale, aiutandovi a comprenderli come parte di un complesso sistema ecologico. Animali e piante, di conseguenza, non vengono presentati in gruppi tassonomici, ma come parte degli otto principali ambienti marini del Mediterraneo. Il viaggio inizia sui diversi tipi di fondale roccioso, prosegue attraverso le distese sabbiose e fangose e termina con i pesci e i delfini che popolano il blu profondo del mare aperto. Nel corso di questo viaggio potete scoprire oltre 200 specie animali e vegetali di particolare importanza ecologica, presentate attraverso le vivide immagini del fotografo Georg Glaeser e i testi precisi ed istruttivi del biologo marino Daniel Abed-Navandi.

How can one visualize a curve that fills the entire plane or all of space? Can a polyhedron be smoothly turned inside out? What is the projective plane? What does four-dimensional space look like? Can soap bubbles exist that are not spherical? How can one better understand the structure of vortices and currents? In this book you will experience mathematics from the visual point of view, discovering fascinating and never previously published images that offer illustrative examples to the above questions. Every picture is accompanied by a brief explanatory text, references to further reading, and a number of web links where you can obtain further information. This book is intended for all friends of mathematics—students, teachers, amateurs, and professionals—who want to see something beyond dry text and endless formulas. It will provide inspiration for pursuing further one or another topic that may previously have seemed inaccessible. You will get to know mathematics from a totally new and colorful viewpoint.

This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

Understanding geometry, physics, and biology This is a highly informative and richly illustrated nonfiction book that conveys scientific content in a clear and understandable way. Drawing on numerous examples, it explains topics from geometry, physics, and biology and points out commonalities between the disciplines. The book contains approx. 300 links to video animations and is accompanied by a freely accessible interactive software that allows readers to delve even deeper into the content covered in the book. The content, videos, and software were developed by the Department of Geometry at the University of Applied Arts Vienna. Georg Glaeser’s research focuses particularly on interdisciplinary mathematical and biological issues, and he worked for many years with Franz Gruber, who was highly adept at visualizing complex issues. Includes links to around 300 video animations, accessible via QR codes Compact, informative, and easy-to-understand explanations of scientific issues in the disciplines of geometry, physics, and biology With numerous images and illustrations

Dieses reich bebilderte Sachbuch zeigt anhand von zahlreichen Beispielen Gemeinsamkeiten von Geometrie, Physik und Biologie auf. Dazu gibt es etwa 300 Links zu entsprechenden Animationen bzw. Video-Sequenzen, die über QR-Code bequem betrachtet werden können. Zusätzlich steht unterstützend eine frei zugängliche interaktive Software zur Verfügung, mit der die Inhalte noch besser vertieft werden können. So kann man – Doppelseite für Doppelseite – in beliebiger Reihenfolge spezielle Themen erleben.

This book invites snorkelers and divers on an educational visit to the most important ecosystems of the Mediterranean Sea. Keystone species from brown algae to dolphins are presented in their marine habitats and understood as part of a complex ecological system. Instead of grouping animals and plants taxonomically, we have organised them according to the eight main habitats of the Mediterranean Sea. Our journey starts with different types of rocky grounds, then takes you further to the Mediterranean’s sandy and muddy grounds, and finally ends with the fish and dolphins of the blue open sea. You will be introduced to 220 ecologically significant animal and plant species via the texts of Daniel Abed-Navandi, a long-time lecturer on the biodiversity of the Mediterranean Sea at the University of Vienna, and the photographs of Georg Glaeser, the master behind the camera, who captures marine life on the spot.

Dieser Unterwasserführer begleitet nicht nur Schnorchler*innen und Taucher*innen auf eine Entdeckungsreise zu den Lebensräumen des Mittelmeeres. Das Buch lädt Sie ein, Unterwasserlebewesen und ihren Lebensraum kennenzulernen und als Teile eines komplexen ökologischen Systems zu begreifen. Tiere und Pflanzen sind hier nicht nach taxonomisch systematischen Gruppen gegliedert, sondern nach den acht Hauptlebensräumen des Mittelmeeres. Die Reise beginnt bei den verschiedenen Felsbodentypen, führt Sie weiter zu den Sandböden und Schlammböden und endet bei den Fischen und Delfinen im blauen Freiwasser. Sie lernen 220 ökologisch bedeutende Tier- und Pflanzenarten durch die Bilder des Fotografen Georg Glaeser und die Texte der Meeresbiologen Daniel Abed-Navandi kennen.

Die „Geometrie und ihre Anwendungen“ ist für Personen geschrieben, die von relativ einfachen Problemen der ebenen Geometrie bis hin zu schwierigeren Aufgaben der Raumgeometrie Interesse an geometrischen Zusammenhängen haben. Ähnlich wie beim „mathematischen Werkzeugkasten“ stehen Anwendungen aus verschiedenen Disziplinen wie dem Ingenieurwesen, der Biologie, Physik, Astronomie, Geografie, Fotografie, Kunstgeschichte, ja sogar der Musik im Vordergrund. Die Anwendungsbeispiele veranschaulichen wichtige Begriffe der Geometrie wie Normalprojektion und Zentralprojektion, Krümmung von Kurven und Flächen, der Geometrie der Bewegung und sogar der Geometrie nichteuklidischer Räume. Stets hat die Raumvorstellung Vorrang. Das Buch kann daher auch von Personen ohne spezielle mathematische Vorbildung gelesen werden. Damit aber auch mathematisch Versierte nicht zu kurz kommen, wird ein analytisches Konzept mitgeliefert. Zwei praktische Kurse runden das Werk ab: zum geometrischen Freihandzeichnen und zur Geometrie des Fotografierens. Leicht verständliche Tipps sollen den Leser zur Fähigkeit hinführen, selbstständig prägnante und korrekte Raumskizzen zu machen, die der Schlüssel für alles tiefere Verständnis in der Geometrie sind. Dass geometrische Einsichten wiederum auch förderlich für Ästhetik und Aussagekraft von Fotos sind, beweisen nicht zuletzt Hunderte von Fotos in allen Kapiteln. Der Leser kann, je nach Vorbildung, an den verschiedensten Stellen beginnen. Durch Querverweise ist der Zusammenhang mit anderen Abschnitten rasch hergestellt. Die vierte Auflage ist gegenüber der dritten Auflage noch einmal um nahezu 200 Seiten ergänzt worden und enthält neben vielen neuen Anwendungsbeispielen zusätzliche neue Kapitel, etwa über optische Täuschungen und Fraktale.

The Moon has always been an object of immense fascination for humanity – and not just because of its prominence in the night sky. With its complex orbit, it is far closer to our planet than any other celestial body. Already in ancient Babylon, humans have studied the Moon and its relationship to the planets and constellations. Through incisive texts and illustrations using photos and computer simulations, this book explores the similarities and differences to other planets and their moons, the Moon’s interactions with the Sun and the Earth, and interesting historical associations. In addition to scientifically accurate texts, it contains numerous large-format photographs and graphics that vividly explain the complex phenomenon of the Moon. Richly illustrated, it is designed for anyone interested in astronomy.

The Moon has always been an object of immense fascination for humanity – and not just because of its prominence in the night sky. With its complex orbit, it is far closer to our planet than any other celestial body. Already in ancient Babylon, humans have studied the Moon and its relationship to the planets and constellations. Through incisive texts and illustrations using photos and computer simulations, this book explores the similarities and differences to other planets and their moons, the Moon’s interactions with the Sun and the Earth, and interesting historical associations. In addition to scientifically accurate texts, it contains numerous large-format photographs and graphics that vividly explain the complex phenomenon of the Moon. Richly illustrated, it is designed for anyone interested in astronomy.

Der mathematische Werkzeugkasten wendet sich an alle, die eine Standard-Mathematikausbildung in der Schule hinter sich haben und ihr mathematisches Verständnis vertiefen wollen. Durch eine Vielzahl von Anwendungsbeispielen aus den verschiedensten Disziplinen wie Biologie, Physik, Chemie, Astronomie, Geografie, ja sogar der Musik, werden algebraische Gleichungen, Proportionen, Trigonometrie, Vektorrechnung und Infinitesimalrechnung anschaulich vermittelt. Insofern ist das Buch eine gute Hilfe für angehende Studierende verschiedenster Studienrichtungen, die fundierteres Mathematikwissen voraussetzen. Wegen der fächerübergreifenden Anwendungen eignet sich das Werk aber auch als Fundgrube für engagierte Mathematiklehrkräfte, welche motivierende Beispiele für die diversen Teilgebiete der Mathematik suchen. Das Buch ist so aufgebaut, dass man an verschiedenen Stellen „einsteigen“ kann. Querverweise bringen zugeordnete Abschnitte und Beispiele schnell in Zusammenhang. Die fünfte, durchgängig vierfarbige Auflage ist vollständig durchgesehen und mittlerweile auf mehr als 500 durchgerechnete Anwendungsbeispiele (mit fast 700 Abbildungen) erweitert.

The Universe of QuadricsThis text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs,this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.

The Universe of QuadricsThis text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs,this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

Der Zeichner Markus Roskar und der Mathematik-Professor Georg Glaeser (beide lehren an der Universität für angewandte Kunst in Wien) haben ein ,,Mathematikbuch der anderen Art'' geschrieben. In ihm verliert Mathematik ihr Image als unzugängliche, sperrige Wissenschaft und erhält eine nachvollziehbare wie emotionale Dimension. Das Buch ist auf einem Doppelseiten-Prinzip aufgebaut: Jede Doppelseite weist eine fast immer humorvolle professionelle Zeichnung auf, die sich auf den Text der anderen Seite bezieht. Dieser Text ist locker, oft humorvoll, aber immer mathematisch korrekt geschrieben. Zumeist behandelt er ein Thema des Alltags, das einen mathematischen Hintergrund hat, oder eine unorthodoxe mathematische Fragestellung. Der Leser kann mit einer Fülle von anspruchsvollen und überraschenden Ergebnissen rechnen

With spectacular large-format images complemented by scientifically grounded, yet easy-to-read, explanatory texts, Georg Glaeser and Werner Nachtigall take you on an exciting journey through the fascinating world of macrostructures – small structures in nature that fulfill specific functions. This book will pique your curiosity about a secret world known only to a few by presenting an impressive range of evolutionary mechanisms, from shrimps’ “tail flips” to the adhesive pads of gecko setae and the implementation of biological structures in the field of bionics. The book can be read in any fashion you please – the cross-references make it easy to jump across the sections, which are largely self-contained and discuss various highlights of the evolutionary process.

Mit spektakulären, großformatigen Fotos, die durch fundierte informative Erklärungstexte ergänzt werden, entführen Sie Georg Glaeser und Werner Nachtigall in die spannende Welt der kleinen Strukturen in der Natur, an denen eine Funktion erkennbar ist. Der Band macht neugierig auf diese verborgene Welt, die nur wenige im Detail kennen und stellt eine Vielzahl faszinierender Mechanismen vor, die die Evolution hervorgebracht hat: von den blitzschnellen „tail flips“ der Tanzgarnele über "Haftpinsel" bei Geckofüßen bis hin zu technischen Anwendungen biologischer Strukturen im Bereich der Bionik. Das Buch kann in beliebiger Reihenfolge, Doppelseite für Doppelseite, gelesen werden. Querverweise sorgen für bequemes Umspringen auf andere Abschnitte. Die Textpassagen sind zumeist unabhängig voneinander und besprechen besondere Highlights im evolutionären Prozess. Ergänzt wird das Buch durch Literaturhinweise.

This book will take you on an exciting journey made up of texts and images. Spectacular, large-scale photographs printed on double pages and accompanied by explanatory texts will arouse the reader’s curiosity about evolution’s accomplishments in the world of flying: from the botanical air fleet (pollen grains, flying seeds…), over flying snakes and fish, to penguins flying underwater and humans rising into the air. Mathematician and passionate animal photographer Georg Glaser has joined forces with the experienced evolutionary biologist Hannes Paulus and the exercise physiologist and flight biophysicist Werner Nachtigall in order to approach this topic with words and pictures in a way that is both generally comprehensible and scientifically sound. Double-page by double-page, the book can be read in any order. Cross-references allow to jump easily from one double-page to another. Aside from the detailed introduction to each chapter,the text passages are usually independent from one another, and they discuss crucial moments in the evolutionary process. The double-pages provide additional information on bibliographical references and references to informative websites.

This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

In this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music. With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing the subject closer to the reader and providing a useful reference to students. By highlighting the ubiquity of mathematics in practical fields, the book will appeal not only to students and teachers, but to anyone with a keen interest in mathematics and its applications.